Question

the sum of three cosecutive odd numbers is 273 find the numbers​

Answer 1

First, let's name the three consecutive odd integers.

We can call the first integer i.

Then, because they are "consecutive odd integers" we need to add

2 and 4 to the first integer.

Therefore, the 3 consecutive odd integers are: i , i+2 and i+4 .

There three sum to 273 so we can write and solve for i :

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Answer 2

The three consecutive odd numbers are 89 , 91 , 93

Given :

The sum of three consecutive odd numbers is 273

To find :

The three consecutive odd numbers

Solution :

Step 1 of 2 :

Form the equation to find the numbers

Let three consecutive odd numbers are n , n + 2 , n + 4

By the given condition

$\displaystyle \sf{n + (n + 2) + (n + 4) = 273 }$

Step 2 of 2 :

Find the three consecutive odd numbers

$\displaystyle \sf{n + (n + 2) + (n + 4) = 273 }$

$\displaystyle \sf{ \implies 3n + 6 = 273}$

$\displaystyle \sf{ \implies 3n = 273 - 6}$

$\displaystyle \sf{ \implies 3n = 267}$

$\displaystyle \sf{ \implies n = \frac{267}{3} }$

$\displaystyle \sf{ \implies n = 89 }$

Hence the three consecutive odd numbers are 89 , 91 , 93

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